Inserting resistor: Can rise output voltage of 3-terminal regulator?

Question:

Can the output voltage of a 3-terminal regulator be increased by inserting a resistor to GND of a low dropout regulator?

Answer:

No.
A circuit operating current at startup that is higher than the normal circuit operating current flows through a low dropout regulator. If such a circuit is used, the output voltage increases at startup or stopping the regulator.
Reference:Usage of Three-Terminal Regulators